Distribution of non-uniform demagnetization fields in paramagnetic bulk solids

A general calculation for the distribution of non-uniform demagnetization fields in paramagnetic bulk solids is described and the fields for various sample geometries are calculated. Cones, ellipsoids, paraboloids, and hyperboloids with similar sample aspect ratios are considered. Significant differences in their demagnetization fields are observed. The calculation shows that the demagnetization field magnitudes decrease along the axis of symmetry (along z) where an externally applied magnetic field is aligned, and increase in the vicinity of the lateral surfaces with the largest field values found in the cone and the narrowest field distributions found in the hyperboloid. An application is made to the theoretical modeling of the 1H-NMR spectra of a single crystal of field-induced superconductor λ-(BETS)2 FeCl4 with a rectangular sample geometry, providing a good fit to the measured NMR spectra.